75 Example 3 A. Evaluate (8 – 3) ● 3(3 + 2). Expressions with Grouping Symbols Example 3 A. Evaluate (8 – 3) ● 3(3 + 2). 75

5-Minute Check! Question #1: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet. Write an algebraic expression for the difference of 4 times n to the second power. A. 4n2 B. 4n C. 4 + n2 D. 4 + 2n

5-Minute Check! Write a verbal expression for 6m – 2. Question #2: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet. Write a verbal expression for 6m – 2. A. six m less than two B. six times m more than two C. the difference of six and two D. two less than six times m

5-Minute Check! A. B. 0.79p + 0.89m C. 0.79m + 0.89p D. 0.79 + 0.89mp Question #3: Is your answer one of the following choices? Select the correct letter choice for your solution and record it on your warm-up sheet. Mechanical pencils sell or $0.79 each, and pens sell for $0.89 each. Write an expression for the cost of m pencils and p pens. A. B. 0.79p + 0.89m C. 0.79m + 0.89p D. 0.79 + 0.89mp

HoMEWORK Check/ Warm UP 1) Write an algebraic expression for four times n to the second power. 2) Write a verbal expression for 6m-2. 3) Mechanical pencils sell for $0.79 each, and pens sell for $0.89 each. Write the total cost for buying m pencils and p pens.

Homework Questions?

1.2 Order of Operations Algebra AB

Evaluate numerical expressions by using the order of operations. Objectives Evaluate numerical expressions by using the order of operations. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Example 1 Evaluate Expressions: What is an exponent? Evaluate 26.

Example 1 Evaluate 44. A. 64 B. 128 C. 192 D. 256

Example 2 Use Order of Operations Evaluate 48 ÷ 23 ● 3 + 5.

Remember the order of operation table 1.3 Orders of Operations Remember the order of operation table Highest ( ), [ ], { } Absolute Value Exponents (powers), roots Multiplication, division Lowest Addition, subtraction

Left-to-Right Rule When multiplication or division are both in the same problem, you work them from left to right. When addition or subtraction are both in the same problem, you work them from left to right.

Example 2 Use Order of Operations Evaluate 48 ÷ 23 ● 3 + 5.

36 Example 3 B. Evaluate 4[12 ÷ (6 – 2)]2. Expressions with Grouping Symbols B. Evaluate 4[12 ÷ (6 – 2)]2. 36

Expressions with Grouping Symbols Example 4 C. 2

Example 5 A. Evaluate the expression 2(4 + 7) ● (9 – 5). A. –60 B. 66 C. 88 D. 68

Example 7 B. Evaluate the expression 3[5 – 2 ● 2]2. A. 9 B. 18 C. 108 D. 3

Example 8 C. A. 1 B. C. 4 D.

Example 9 Evaluate [(92 – 9) ÷ 12]5. A. 6 B. 15 C. 30 D. 45

30 Example 10 Evaluate 2(x2 – y) + z2 if x = 4, y = 3, and z = 2. Evaluate an Algebraic Expression Evaluate 2(x2 – y) + z2 if x = 4, y = 3, and z = 2. 30

Example 11 Evaluate x3 – y2 + z, if x = 3, y = 2, and z = 5. A. 6 B. 28 C. 36 D. 10

Example 12 Write and Evaluate an Expression ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h. A. Write an expression that represents the area of one side of the Great Pyramid. B. Find the area of one side of the Great Pyramid.

Example 12 Find the area of a triangle with a base of 123 feet and a height of 62 feet. A. 3,813 ft2 B. 7,626 ft2 C. 15,252 ft2 D. 32 ft2

Homework P. 13- 14 #42-48, 55, 56

Agenda Homework Questions White Board Practice Extra Practice

1.2 – Order of Operations Whiteboard Practice

1.2 Orders of Operations Vocabulary: order of operations - PEMDAS Please P E M D A S Exponents Parentheses Addition Subtraction Division Multiplication Excuse My Dear Aunt Sally

Remember the order of operation table 1.3 Orders of Operations Remember the order of operation table Highest ( ), [ ], { } Absolute Value Exponents (powers), roots Multiplication, division Lowest Addition, subtraction

Left-to-Right Rule When multiplication or division are both in the same problem, you work them from left to right. When addition or subtraction are both in the same problem, you work them from left to right.

Examples Think: “Which operation should be done first Examples Think: “Which operation should be done first?” Simplify if necessary! 1) 3 + 8  2 - 5 2) 5(9 + 3) – 3  4 3) 7(53 + 32) 4) 5) 6) 2 48 938 22 27 149/12

Examples Think: “Which operation should be done first Examples Think: “Which operation should be done first?” Simplify if necessary! 7) 8) 9) 42 – (52 + 2) 10) 11) 12) 1/2 4 19 29 ∙ 38 3

Summary Memorize the order of operations Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction Remember the importance of grouping symbols Parenthesis Fractions

Exit Slip Homework 1.2 Practice